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Blababa [14]
2 years ago
11

X squared+6x+5 what is this factorise

Mathematics
1 answer:
NISA [10]2 years ago
4 0
Well, your question is basically;
x²+6x+5
   Well first you have to find two numbers that when added will give you +6 and when multiplied will give you 5. Well, in this case, the numbers are; (+1 and +5). So you add them to the equation. So;
x²+1x+5x+5
  Hope you noticed that 6x was removed. Anyway;
   You have to put the equation in two brackets with two terms in each
(x²+1x)+(5x+5)
   Next, you bring out what is commom in each bracket and use it to divide what is in the bracket
x(x+1)+5(x+1)
   Now you notice that the two things in the bracket are the same. They have to be.
Next, you put the terms outside the bracket together and choose one of the terms in a bracket. So;
(x+5) (x+1)
     So the equation factorised is (x+5) (x+1). But if you want to go ahead to find x, then you can say;
(x+5)                             (x+1)
x+5=0                             x+1=0
Take the +5 over            Take the +1 over the equal to, where it becomes -1. So;
the equal sign where      x=-1
it becomes -5. So;
x=-5                        OR    x=-1
   By the way, here's a little secret, the answers are always the opposite of the two numbers chosen at the beginning(+1 and +5). Hope i helped. If you have any more problems, let me know.
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(4x+8)+(2x+20)=90 help me solve this and draw a diagram
Lemur [1.5K]

Answer:

x = 31/3

Step-by-step explanation:

4x+8+2x+20=90

4x+2x+8+20=90

4x+2x+8+20=90

6x+28=90

6x+28-28=90-28

6x=62

x = 31/3

5 0
3 years ago
What is the next term of the geometric sequence? 72,36,18
MissTica

Answer:

9

Step-by-step explanation:

The ratio is 1/2 so the next term would always be half of the previous one.

- 72 times 1/2 is 36

-36 times 1/2 is 18

-18 times 1/2 is 9. So the answer is 9

5 0
3 years ago
Please someone help me and do not just write anything explain thank you . use the information provided to write the vertex form
notka56 [123]
Ok, so user says that it should be solve for vertex not vertex form
(x,y)
to find the vertex of
y=ax^2+bx+c

the x value of the vertex is -b/2a
the y value is found by plugging in the x value for the vertex back into the original equation and evaluating


y=-2x^2-12x-28
a=-2
b=-12

xvalue of vertex is -(-12)/(2*-2)=12/-4=-3

x value of vertex is -3

plug backin for x
y=-2x^2-12x-28
y=-2(-3)^2-12(-3)-28
y=-2(9)+36-28
y=-18+8
y=-10

yvalue is -10
x value is -3

vertex is (-3,-10)
5 0
3 years ago
A dragon likes to eat red peppers and green peppers because they help him breathe fire. If the dragon eats 2 red peppers, he can
N76 [4]

it's 45

Step-by-step explanation:

Okay, so if 2 peppers is 25 meters long, you just divide 25 by 2 to get how many peppers the dragon breathes as  1 pepper. So then you get 12.5, And if you do that with the green peppers, you get 1.5. So, the dragon ate 3 green peppers, so it's 12.5 x 3 , aka. 12.5+12.5+12.5. That's  37.5, and if you do 1.5x5 for the green peppers, it's 7.5, And now you add 37.5+7.5, and you get 45.

4 0
2 years ago
17. Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively
Gnesinka [82]

Given that, Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively.Find the height of the smallest tank if the larger is 300cm tall?

Assume that, the tanks are rectangular in shapes and differ only on their heights. The volume of the larger tank is

V1 = l × w × h1 while the volume of the smaller tank is V2 = l ×w × h2. The ratios of the capacities is

\sf \frac{V1}{V2} = l  \times  w  \times h1  \times  w  \times  h2 =  \frac{h1}{h2}

Solving for the height of the smaller tank h2

\sf \frac{V1}{V2} =  \frac{h1}{h2}

\sf\frac{1000000} {51200} = \frac{ 300 cm }{ h2}

1000000 × h2 = 51200 × 300 cm

h2 = (51200 × 300 cm) /1000000

h2 = 15.36 cm

\sf\implies \: \boxed{ \bf{ \: Height \:  of  \: the \:  smaller  \: tank  \: is  \: 15.36 cm.\: }}

{ \underline {\rule{5000pt}{6pt}}}

5 0
2 years ago
Read 2 more answers
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